TY - JOUR
T1 - On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities
AU - D. S. Yu & M. L. Wang
JO - Analysis in Theory and Applications
VL - 4
SP - 405
EP - 416
PY - 2014
DA - 2014/11
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n4.8
UR - https://global-sci.org/intro/article_detail/ata/4505.html
KW - Modified Bernstein operators, weighted approximation, Stechkin inequality.
AB - <p style="text-align: justify;">Della Vecchia et al. (see [2]) introduced a kind of modified Bernstein operators which can be used to approximate functions with singularities at endpoints on $[0,1].$ In the present paper, we obtain a kind of pointwise Stechkin-type inequalities for weighted approximation by the modified Bernstein operators.</p>